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Finding the Fourth Proportional to 378,174.61, 521,906.78 and 231,062.45

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Solution

The fourth proportional to 378,174.61, 521,906.78 and 231,062.45 is: 318,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,174.61 : 521,906.78 = 231,062.45 : x
  2. Step 2: Convert to fraction form
    378,174.61/521,906.78 = 231,062.45/x
  3. Step 3: Cross multiply
    378,174.61x = 521,906.78 × 231,062.45
  4. Step 4: Simplify right side
    378,174.61x = 120,593,058,103.10
  5. Step 5: Solve for x
    x = 120,593,058,103.10/378,174.61
  6. Step 6: Final answer
    x = 318,881.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.